Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 3, 13, ['7229', '6555', '9365', '4639', '8383', 'b', '5987', '5999', '9331', '7453', 'H', 'G', '1767', 'm', 'E', 'F', 'b', 's']

52924